It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles the plane by integer translations and su...

It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles the plane by integer translations and su...

Geometry compression is an effective way to distribute high-volume geometry data within limited bandwidth and storage capacity. In this paper, a new time-varying 3D geometry compression method based on 4D lifted wavelet transform is presented. In this hybrid approach, geometric information and animation are compressed based volume grid values. Isosurfaces are reconstructed from decompressed gri...

This paper discusses a wavelet based, lossless compression scheme for Electroencephalogram(EEG) signals. For any wavelet based compression scheme, selection of wavelet base is very important task for obtaining effective signal compression. Here, emphasis is given for selection of wavelet basis and number of decomposition levels. The proposed EEG compression algorithm comprises of a preprocessin...

In this paper, we are proposing a wavelet-based progressive transmission algorithm for medical images. The system should fulfill certain criteria of medical image transmission. To accomplish the target, we have studied several potential integer wavelet transforms and waveletbased image coders that best work for the system. The system is also enhanced with region-of-interest (ROI) coding, which ...

We propose a non-parametric texture modeling and synthesis technique based on the integer version of the Discrete Wavelet Transform (DWT). The successive levels of the DWT pyramid of the input texture are progressively sampled starting from the signal approximation to generate the analogous wavelet pyramid for the synthetic texture. An underlying statistical model is assumed, where the appearan...